Lemma 8.2 (Lemmas 4.5 and 4.6 in [1]})  
Let \(\Sigma \)  be an avenue surface. Then \(\Sigma \)  has either 0 or infinite genus, and
\(\Sigma \)  has exactly two ends of maximal type, that is, \(\mathcal {M}(E)=\lbrace  x_1, x_2\rbrace \) .
Furthermore, for every \(x \in E-\lbrace x_1, x_2\rbrace \) , the set \(E(x)\)  accumulates to both \(x_1\) 
and \(x_2\) .

